Jerry Remy's 13th-inning single scored Rick Burleson with the run that gave the Boston Red Sox a 3-2 victory over the New York Yankees tonight.

Burleson had drilled a one-out double, his third hit of the game, to right-center field off jim Kaat (1-1). Remy, who had entered the game as a pinch runner in the eighth inning, then singled to right. Bobby Murcer fielded the ball but his throw home was slightly off line and Burleson slid under catcher Thurman Munson's diving tag.

Dick Drago (7-3) pitched 2 1/3 innings of scoreless relief for the win.

Mike Torrez blanked the Yankees on three hits until the ninth inning, when New York tied it, 2-2, with the help of an error by third baseman Butch Hobson.

Murcer led off the ninth with a single and moved to second as Hobson booted Lou Piniella's potential double-play grounder. After Torrez fanned Reggie Jackson for the third time, Graig Nettles singled to right, scoring Murcer and sending Piniella to third. Jackson was playing for first time since being reactivated after being sidelined most of June with a leg injury.

Nettles' hit finished Torrez, and Jim Spencer greeted Bill Campbell with a hard grounder toward first base. Carl Yastrzemski made a diving stop but could retire only Spencer, while Piniella scored.

Ron Guidry, returning from a layoff forced by a back injury, matched Torrez for seven scoreless innings, but in the Boston eighth, Bob Montgomery hit a one-out single. On a hit-and-run play, Burleson singled through the hole vacated by shortstop Bucky Dent, sending Montgomery to third. That brought up Larry Wolfe, playing in place of regular second baseman Remy. He drilled a 1-2 pitch into left field, scoring Montgomery.

Guidry escaped without further damage and gave way to reliever Ron Davis in the ninth. Jim Rice greeted the Yankee rookie with his 18th homer of the season for Boston's second run.

Yankee center fielder Mickey Rivers had to leave the game in the 10th inning when he injured his shoulder crashing into the fence as he caught a drive by Dwight Evans. CAPTION: picture, Reggie Jackson and Yankee Manager Billy Martin discuss Red Sox. Jackson was hitless in six at-bats in first game after injury. UPI